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Finding the Fourth Proportional to 5,764.06, 8,640.97 and 2,113.50

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Solution

The fourth proportional to 5,764.06, 8,640.97 and 2,113.50 is: 3,168.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.06 : 8,640.97 = 2,113.50 : x
  2. Step 2: Convert to fraction form
    5,764.06/8,640.97 = 2,113.50/x
  3. Step 3: Cross multiply
    5,764.06x = 8,640.97 × 2,113.50
  4. Step 4: Simplify right side
    5,764.06x = 18,262,690.10
  5. Step 5: Solve for x
    x = 18,262,690.10/5,764.06
  6. Step 6: Final answer
    x = 3,168.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.